施承忠孪生素数对数T(x)分段系数法

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施承忠孪生素数对数T(x)分段系数法

2(qk)^2≤x<2(qk+1)^2；T(x)≈ck*x/ln^2x

c1=1.3923748165
c2=2.4486278392
c3=2.3654558259
c4=2.5190146583
c5=2.1320658611
c6=2.07898509474
c7=1.8555042477
c8=1.9892367928
c9=1.6265863415
c10=1.9541119594
c11=1.7171892535
c12=1.8826616915
c13=1.7376397926
c14=1.8903975619
c15=2.1184584649
c16=1.97035 37335
c17=2.0930790298
c18=1.9824849832
c19=2.0985092435
c20=2.3806693709


比如T(100)=8，2(q2)^2=50,2(q3)^2=242.50<100<242,取密度系数
c2=2.4486278392.
100/ln100=4.7152924253
4.7152924253*2.4486278392=11.5459963026
4.7152924253*1.3203236317=6.2257120195

比如T(1000)=35，2(q4)^2=578,2(q5)^2=1682.578<1000<1682,取密度系数c4=2.5190146583
1000/ln1000=20.9568552235
20.9568552235*2.5190146583=52.7906254999
20.9568552235*1.3203236317=27.6698311977

比如T(10000)=205，2(q7)^2=6962,2(q8)^2=10082.6962<1000<10082,取密度系数c7=1.8555042477
10000/ln10000=117.8823106323
117.8823106323*1.8555042477=218.7311281069
117.8823106323*1.3203236317=155.6428004872

比如T(100000)=1224，2(q15)^2=77618,2(q16)^2=103058.77618<100000<103058,取密度系数b15=2.1184584649
100000/ln100000=754.4467880462
754.4467880462*2.1184584649=1598.2641844531
754.4467880462*1.3203236317=996.11392311756